ON THE MONOGENITY OF CERTAIN BINOMIAL COMPOSITIONS

DOI10.17654/0972555522026OpenAlexW4284974856WikidataQ114049326 ScholiaQ114049326MaRDI QIDQ5040880

István Gaál

Publication date: 18 October 2022

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/0972555522026

zbMATH Keywords

power integral basismonogenitysextic fieldsbinomial compositionscalculating the solutions

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04)

Uses Software

• Maple

Cites Work

• Unnamed Item
• Monogenic fields arising from trinomials
• Monogenic binomial compositions
• Genetics of polynomials over local fields
• Power Integral Bases in Composits of Number Fields
• Infinite families of monogenic trinomials and their Galois groups
• Characterization of primes dividing the index of a trinomial
• Monogenic trinomials with non-squarefree discriminant
• Diophantine Equations and Power Integral Bases
• Calculating “Small” Solutions of Relative Thue Equations
• Integral Bases and Monogenity of Composite Fields
• Newton polygons of higher order in algebraic number theory

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